Energy of Rotational Transitions between Rotational Levels Calculator

✖Rotational Constant is defined for relating in energy and Rotational energy levels in diatomic molecules.ⓘ Rotational Constant [B]			+10% -10%
✖Rotational Level is numerical value of the level of rotational energy in Rotational Spectroscopy of Diatomic Molecules ( it takes numerical values as 0,1,2,3,4...).ⓘ Rotational Level [J]			+10% -10%

✖The Energy of Rotational Transitions between RL from J to J +1 formula is defined as energy of radiation absorbed to undergo an energy transition when a molecule is irradiated with photons of light.ⓘ Energy of Rotational Transitions between Rotational Levels [E_RL]

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Formula

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Energy of Rotational Transitions between Rotational Levels

Formula

`"E"_{"RL"} = 2*"B"*("J"+1)`

Example

`"608J"=2*"60.8m⁻¹"*("4"+1)`

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Energy of Rotational Transitions between Rotational Levels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy of Rotational Transitions between RL = 2*Rotational Constant*(Rotational Level+1)
E_RL = 2*B*(J+1)
This formula uses 3 Variables

Variables Used

Energy of Rotational Transitions between RL - (Measured in Joule) - The Energy of Rotational Transitions between RL from J to J +1 formula is defined as energy of radiation absorbed to undergo an energy transition when a molecule is irradiated with photons of light.
Rotational Constant - (Measured in 1 per Meter) - Rotational Constant is defined for relating in energy and Rotational energy levels in diatomic molecules.
Rotational Level - Rotational Level is numerical value of the level of rotational energy in Rotational Spectroscopy of Diatomic Molecules ( it takes numerical values as 0,1,2,3,4...).

STEP 1: Convert Input(s) to Base Unit

Rotational Constant: 60.8 1 per Meter --> 60.8 1 per Meter No Conversion Required
Rotational Level: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_RL = 2*B*(J+1) --> 2*60.8*(4+1)

Evaluating ... ...

E_RL = 608

STEP 3: Convert Result to Output's Unit

608 Joule --> No Conversion Required

FINAL ANSWER

608 Joule <-- Energy of Rotational Transitions between RL

(Calculation completed in 00.004 seconds)

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

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National Institute of Information Technology (NIIT), Neemrana

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< 11 Rotational Energy Calculators

Rotational Energy using Centrifugal Distortion

Go Rotational Energy given CD = (Rotational Constant*Rotational Level*(Rotational Level+1))-(Centrifugal Distortion Constant given RE*(Rotational Level^2)*((Rotational Level+1)^2))

Centrifugal Distortion Constant using Rotational Energy

Go Centrifugal Distortion Constant given RE = (Rotational Energy-(Rotational Constant*Rotational Level*(Rotational Level+1)))/(Rotational Level^2)*((Rotational Level+1)^2)

Rotational Constant using Rotational Energy

Go Rotational Constant given RE = Rotational Energy/(Rotational Level*(Rotational Level+1))

Rotational Energy using Rotational Constant

Go Rotational Energy given RC = Rotational Constant*Rotational Level*(Rotational Level+1)

Rotational Constant using Wave number

Go Rotational Constant given Wave Number = Wave Number in Spectroscopy*[hP]*[c]

Energy of Rotational Transitions between Rotational Levels

Go Energy of Rotational Transitions between RL = 2*Rotational Constant*(Rotational Level+1)

Rotational Constant using Energy of Transitions

Go Rotational Constant given ET = Energy of Rotational Transitions/(2*(Rotational Level+1))

Rotational Energy

Go Energy for Rotation = ([h-]^2)*Beta in Schrodinger Equation/(2*Moment of Inertia)

Beta using Rotational Energy

Go Beta using Rotational Energy = 2*Moment of Inertia*Rotational Energy/([h-]^2)

Beta using Rotational Level

Go Beta using Rotational Level = Rotational Level*(Rotational Level+1)

Rotational Constant given Moment of Inertia

Go Rotational Constant given MI = ([h-]^2)/(2*Moment of Inertia)

< 11 Rotational Energy Calculators

Rotational Energy using Centrifugal Distortion

Go Rotational Energy given CD = (Rotational Constant*Rotational Level*(Rotational Level+1))-(Centrifugal Distortion Constant given RE*(Rotational Level^2)*((Rotational Level+1)^2))

Centrifugal Distortion Constant using Rotational Energy

Go Centrifugal Distortion Constant given RE = (Rotational Energy-(Rotational Constant*Rotational Level*(Rotational Level+1)))/(Rotational Level^2)*((Rotational Level+1)^2)

Rotational Constant using Rotational Energy

Go Rotational Constant given RE = Rotational Energy/(Rotational Level*(Rotational Level+1))

Rotational Energy using Rotational Constant

Go Rotational Energy given RC = Rotational Constant*Rotational Level*(Rotational Level+1)

Rotational Constant using Wave number

Go Rotational Constant given Wave Number = Wave Number in Spectroscopy*[hP]*[c]

Energy of Rotational Transitions between Rotational Levels

Go Energy of Rotational Transitions between RL = 2*Rotational Constant*(Rotational Level+1)

Rotational Constant using Energy of Transitions

Go Rotational Constant given ET = Energy of Rotational Transitions/(2*(Rotational Level+1))

Rotational Energy

Go Energy for Rotation = ([h-]^2)*Beta in Schrodinger Equation/(2*Moment of Inertia)

Beta using Rotational Energy

Go Beta using Rotational Energy = 2*Moment of Inertia*Rotational Energy/([h-]^2)

Beta using Rotational Level

Go Beta using Rotational Level = Rotational Level*(Rotational Level+1)

Rotational Constant given Moment of Inertia

Go Rotational Constant given MI = ([h-]^2)/(2*Moment of Inertia)

Energy of Rotational Transitions between Rotational Levels Formula

Energy of Rotational Transitions between RL = 2*Rotational Constant*(Rotational Level+1)
E_RL = 2*B*(J+1)

How to get Energy of rotational transitions from J to J +1?

When a molecule is irradiated with photons of light it may absorb the radiation and undergo an energy transition. The energy of the transition must be equivalent to the energy of the photon of light absorbed given by: E=hν . For a diatomic molecule the energy difference between rotational levels (J to J+1) is Energy of rotational transitions from J to J +1.

How to Calculate Energy of Rotational Transitions between Rotational Levels?

Energy of Rotational Transitions between Rotational Levels calculator uses Energy of Rotational Transitions between RL = 2*Rotational Constant*(Rotational Level+1) to calculate the Energy of Rotational Transitions between RL, The Energy of rotational transitions between rotational levels formula is defined as the energy of radiation absorbed to undergo an energy transition when a molecule is irradiated with photons of light. For a diatomic molecule, the energy difference between rotational levels (J to J+1) is the Energy of rotational transitions. Energy of Rotational Transitions between RL is denoted by E_RL symbol.

How to calculate Energy of Rotational Transitions between Rotational Levels using this online calculator? To use this online calculator for Energy of Rotational Transitions between Rotational Levels, enter Rotational Constant (B) & Rotational Level (J) and hit the calculate button. Here is how the Energy of Rotational Transitions between Rotational Levels calculation can be explained with given input values -> 608 = 2*60.8*(4+1).

FAQ

What is Energy of Rotational Transitions between Rotational Levels?

The Energy of rotational transitions between rotational levels formula is defined as the energy of radiation absorbed to undergo an energy transition when a molecule is irradiated with photons of light. For a diatomic molecule, the energy difference between rotational levels (J to J+1) is the Energy of rotational transitions and is represented as E_RL = 2*B*(J+1) or Energy of Rotational Transitions between RL = 2*Rotational Constant*(Rotational Level+1). Rotational Constant is defined for relating in energy and Rotational energy levels in diatomic molecules & Rotational Level is numerical value of the level of rotational energy in Rotational Spectroscopy of Diatomic Molecules ( it takes numerical values as 0,1,2,3,4...).

How to calculate Energy of Rotational Transitions between Rotational Levels?

The Energy of rotational transitions between rotational levels formula is defined as the energy of radiation absorbed to undergo an energy transition when a molecule is irradiated with photons of light. For a diatomic molecule, the energy difference between rotational levels (J to J+1) is the Energy of rotational transitions is calculated using Energy of Rotational Transitions between RL = 2*Rotational Constant*(Rotational Level+1). To calculate Energy of Rotational Transitions between Rotational Levels, you need Rotational Constant (B) & Rotational Level (J). With our tool, you need to enter the respective value for Rotational Constant & Rotational Level and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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